Monoxdifly
MHB
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If the line x + my = 1 is a tangent of the circle $$x^2+y^2-4x+6y+8=0$$, the value of m is ...
A. -2
B. $$\frac{1}{4}$$
C. $$\frac{1}{4}$$
D. 3
E. 4
Looking at the circle's equation, the center is (2, -3) and the radius is $$\sqrt5$$. If I know the coordinate where the line meet the circle I think I can solve this by myself, but I don't know how. Should I substitute x = 1 - my to the circle equation, or is there a simpler way?
A. -2
B. $$\frac{1}{4}$$
C. $$\frac{1}{4}$$
D. 3
E. 4
Looking at the circle's equation, the center is (2, -3) and the radius is $$\sqrt5$$. If I know the coordinate where the line meet the circle I think I can solve this by myself, but I don't know how. Should I substitute x = 1 - my to the circle equation, or is there a simpler way?